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Projective normality of abelian varieties with a line bundle of type 2 ,

Elena Rubei (1998)

Bollettino dell'Unione Matematica Italiana

Sia X una varietà abeliana e L un fibrato in rette ampio di tipo 2 , 2 d 2 , , 2 d g su X ; sia φ L l'applicazione associata a L . In questo lavoro si dimostra il seguente fatto: se d i 2 per qualsiasi i , L non è mai normalmente generato (quindi, se φ L è un embedding, φ L X non è proiettivamente normale); negli altri casi invece L è normalmente generato per X , c 1 L generico nello spazio dei moduli delle varietà abeliane polarizzate di tipo 2 , 2 d 2 , , 2 d g .

Quantization of Drinfeld Zastava in type A

Michael Finkelberg, Leonid Rybnikov (2014)

Journal of the European Mathematical Society

Drinfeld Zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of the affine Lie algebra 𝔰𝔩 ^ n . We introduce an affine, reduced, irreducible, normal quiver variety Z which maps to the Zastava space bijectively at the level of complex points. The natural Poisson structure on the Zastava space can be described on Z in terms of Hamiltonian reduction of a certain Poisson subvariety of the dual space of a (nonsemisimple) Lie algebra. The quantum Hamiltonian...

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